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Finding the Fourth Proportional to 2,452.47, 3,679.15 and 1,575.84

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Solution

The fourth proportional to 2,452.47, 3,679.15 and 1,575.84 is: 2,364.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.47 : 3,679.15 = 1,575.84 : x
  2. Step 2: Convert to fraction form
    2,452.47/3,679.15 = 1,575.84/x
  3. Step 3: Cross multiply
    2,452.47x = 3,679.15 × 1,575.84
  4. Step 4: Simplify right side
    2,452.47x = 5,797,751.74
  5. Step 5: Solve for x
    x = 5,797,751.74/2,452.47
  6. Step 6: Final answer
    x = 2,364.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.